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Finding the Fourth Proportional to 90,581.78, 135,911.09 and 48,450.89

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Solution

The fourth proportional to 90,581.78, 135,911.09 and 48,450.89 is: 72,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,581.78 : 135,911.09 = 48,450.89 : x
  2. Step 2: Convert to fraction form
    90,581.78/135,911.09 = 48,450.89/x
  3. Step 3: Cross multiply
    90,581.78x = 135,911.09 × 48,450.89
  4. Step 4: Simplify right side
    90,581.78x = 6,585,012,349.56
  5. Step 5: Solve for x
    x = 6,585,012,349.56/90,581.78
  6. Step 6: Final answer
    x = 72,696.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.